Translation-invariant wavelet denoising of full-tensor gravity –gradiometer data
Sign Up to like & getrecommendations! Published in 2017 at "Applied Geophysics"
DOI: 10.1007/s11770-017-0649-2
Abstract: Denoising of full-tensor gravity-gradiometer data involves detailed information from field sources, especially the data mixed with high-frequency random noise. We present a denoising method based on the translation-invariant wavelet with mixed thresholding and adaptive threshold… read more here.
Keywords: invariant wavelet; gravity gradiometer; gradiometer data; translation invariant ... See more keywords
Isomorphisms between determinantal point processes with translation-invariant kernels and Poisson point processes
Sign Up to like & getrecommendations! Published in 2020 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2020.123
Abstract: Abstract We prove the Bernoulli property for determinantal point processes on $ \mathbb{R}^d $ with translation-invariant kernels. For the determinantal point processes on $ \mathbb{Z}^d $ with translation-invariant kernels, the Bernoulli property was proved by… read more here.
Keywords: point processes; point; translation invariant; invariant kernels ... See more keywords
Classification of digital affine noncommutative geometries
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5025815
Abstract: It is known that connected translation invariant n-dimensional noncommutative differentials dxi on the algebra k[x1, …, xn] of polynomials in n-variables over a field k are classified by commutative algebras V on the vector space… read more here.
Keywords: differential structures; structures admitting; admitting invariant; metrics respectively ... See more keywords
Quantum Error Correcting Codes in Eigenstates of Translation-Invariant Spin Chains.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review letters"
DOI: 10.1103/physrevlett.123.110502
Abstract: Quantum error correction was invented to allow for fault-tolerant quantum computation. Systems with topological order turned out to give a natural physical realization of quantum error correcting codes (QECC) in their ground spaces. More recently,… read more here.
Keywords: error correcting; translation invariant; spin; error ... See more keywords
On the Systems of Finite Weights on the Algebra of Bounded Operators and Corresponding Translation Invariant Measures
Sign Up to like & getrecommendations! Published in 2019 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080219080067
Abstract: We describe the class of translation invariant measures on the algebra ℬ(ℋ) of bounded linear operators on a Hilbert space ℋ and some of its subalgebras. In order to achieve this we apply two steps.… read more here.
Keywords: algebra bounded; translation invariant; translation; finite weights ... See more keywords